Some aspects of convexity useful in information theory

  title={Some aspects of convexity useful in information theory},
  author={Hans S. Witsenhausen},
  journal={IEEE Trans. Information Theory},
From its very beginning, information theory haa been pervaded by convexity arguments. Much of the necessary background was developed on an ad hoc basis without reference to the knowledge avaih&le from the mathematical study of convex sets and functions. Yet explicit use of this knowledge is helpful in several aveas of information theory, as is shown by examples. 
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